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The Partition Function for Topological Field Theories

✍ Scribed by J. Gegenberg; G. Kunstatter

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 685 KB
Volume: 231
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.1994.1043

No coin nor oath required. For personal study only.

✦ Synopsis

We use a Hodge decomposition and its generalization to non-abelian flat vector bundles to calculate the partition function for abelian and non-abelian BF theories in (n) dimensions. This enables us to provide a simple proof that the partition function is related to the Ray-Singer torsion defined on flat vector bundles for all odd-dimensional manifolds and is equal to unity for even dimensions. 1994 Academic Press, Inc.

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